At the farm, the goat population increased by 30% in the second month and then by a further 10% in the next 2 months. If there were 1001 goats in the end, how many goats were there at the farm at first?
|
Goats |
Before |
100% |
Change 1 |
+ 30% |
After 1 |
130% |
Change 2 |
+ 13% |
After 2 |
143% |
Population of goats at first = 100%
New population of goats after first increase
= 100% + 30%
= 130%
Percentage of second increase
= 10% x 130%
=
10100 x 130%
= 13%
New population of goats after second increase
= 130% + 13%
= 143%
143% of goat population = 1001
1% of the goat population
= 1001 ÷ 143
= 7
100% of goat population
= 100 x 7
= 700
Number of goats at first = 700
Answer(s): 700